Finding the Third Proportional to 43,741 and 104,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,741 : 104,978.50 = 104,978.50 : x
2. Step 2: Convert to fraction form
   43,741/104,978.50 = 104,978.50/x
3. Step 3: Cross multiply
   43,741x = 104,978.50 × 104,978.50
4. Step 4: Simplify right side
   43,741x = 11,020,485,462.25
5. Step 5: Solve for x
   x = 11,020,485,462.25/43,741
6. Step 6: Final answer
   x = 251,948.64